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Finding the Fourth Proportional to 7,138.26, 10,707.93 and 1,944

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Solution

The fourth proportional to 7,138.26, 10,707.93 and 1,944 is: 2,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.26 : 10,707.93 = 1,944 : x
  2. Step 2: Convert to fraction form
    7,138.26/10,707.93 = 1,944/x
  3. Step 3: Cross multiply
    7,138.26x = 10,707.93 × 1,944
  4. Step 4: Simplify right side
    7,138.26x = 20,816,215.92
  5. Step 5: Solve for x
    x = 20,816,215.92/7,138.26
  6. Step 6: Final answer
    x = 2,916.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.